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I used CFR to solve another card game called Setback (aka Auction Pitch), which is a trick-taking game that’s similar to, but simpler than, Bridge. CFR is very
by munchler 3y ago
I used CFR to solve another card game called Setback (aka Auction Pitch), which is a trick-taking game that’s similar to, but simpler than, Bridge.
CFR is very effective, but slow and requires a lot of RAM. I had to create a smaller, abstract version of the game, solve that, and then map the result back to the actual game, so I didn’t end up with a perfect Nash equilibrium, but the solution does still play at a super-human level.
One of the interesting things about my approach is that it actually uses CFR at two separate levels: First it solves a single-deal version of the game, then it uses that solution to run CFR again on a repeated version of the game where each player accumulates points across multiple deals. (Bidding in Setback is highly score-dependent.)
I think a similar approach might be possible for Hearts, but I haven’t tried it yet. Solving Bridge with CFR may be beyond our current capability, but could also be possible in the future.
[0]: https://www.bernsrite.com/Setback https://www.bernsrite.com/Setback
[1]: https://github.com/brianberns/Setback https://github.com/brianberns/Setback
[2]: https://github.com/brianberns/Cfrm https://github.com/brianberns/Cfrm